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Finding the Fourth Proportional to 6,862.78, 9,477.36 and 5,862.22

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Solution

The fourth proportional to 6,862.78, 9,477.36 and 5,862.22 is: 8,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.78 : 9,477.36 = 5,862.22 : x
  2. Step 2: Convert to fraction form
    6,862.78/9,477.36 = 5,862.22/x
  3. Step 3: Cross multiply
    6,862.78x = 9,477.36 × 5,862.22
  4. Step 4: Simplify right side
    6,862.78x = 55,558,369.34
  5. Step 5: Solve for x
    x = 55,558,369.34/6,862.78
  6. Step 6: Final answer
    x = 8,095.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.